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Evolutionary implications for interactions between multiple strains of host and parasite.

Pei Zhang¹, Gregory J Sandland, Zhilan Feng

¹Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA.

Journal of Theoretical Biology

|June 26, 2007

Summary

Understanding parasite evolution requires studying multiple strains and host types. This research models disease spread, revealing how host and parasite traits influence parasite persistence and the evolution of specialism or generalism.

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Area of Science:

Ecology
Evolutionary Biology
Epidemiology

Background:

Parasite evolution is complex, influenced by interactions within diverse host populations.
Understanding these dynamics is crucial for predicting disease spread and host-parasite coevolution.

Purpose of the Study:

To investigate how host heterogeneity and parasite virulence impact disease persistence and spread.
To determine the conditions for parasite strain invasion and coexistence.
To explore how host life-history strategies shape parasite evolution (specialism vs. generalism).

Main Methods:

Formulation of a deterministic mathematical model.
Analysis of two parasite strains and two host types.
Calculation of independent reproductive numbers (R(i)) and invasion reproductive numbers (R(i)(j)).

Main Results:

Disease-free equilibrium is stable if R(i)<1 for both strains; unstable if R(i)>1 for at least one strain.
Strain i invades when its invasion reproductive number R(i)(j)>1.
Coexistence is possible even if one strain's R(i)<1, driven by coinfection.
Host life-history strategies influence parasite specialism/generalism and persistence.

Conclusions:

Host and parasite characteristics significantly affect disease dynamics and evolutionary trajectories.
Mathematical modeling provides insights into complex host-parasite interactions and disease persistence.
The study identifies key factors driving parasite evolution in natural systems.